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Global exponential stabilization for parabolic type systems with continuously distributed delays

Li An-Ping Luo Yi-Ping Deng Fei-Qi

Global exponential stabilization for parabolic type systems with continuously distributed delays

Li An-Ping, Luo Yi-Ping, Deng Fei-Qi
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  • Received Date:  14 March 2006
  • Accepted Date:  13 July 2006
  • Published Online:  26 January 2007

Global exponential stabilization for parabolic type systems with continuously distributed delays

  • 1. (1)湖南工程学院,湘潭 411101; (2)湖南工程学院,湘潭 411101;华南理工大学系统工程研究所,广州 510640; (3)华南理工大学系统工程研究所,广州 510640

Abstract: A sort of new method is put forward which is not similar to existing methods for a class of parabolic type systems with time-varying delays. By employing generalized Halanay's inequality, Dini derivative and the technique of differential inequality, a sufficient condition for the type of stabilization are derived. The stabilization criteria are delay-independent. A computation example is given to illustrate the proposed method. In addition, the distinct advantage of the method is that the criterions in the paper are easy to be checked, and can be applied in practice easily.

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